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Finding the Third Proportional to 281,644.50 and 626,259

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Solution

The third proportional to 281,644.50 and 626,259 is: 1,392,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,644.50 : 626,259 = 626,259 : x
  2. Step 2: Convert to fraction form
    281,644.50/626,259 = 626,259/x
  3. Step 3: Cross multiply
    281,644.50x = 626,259 × 626,259
  4. Step 4: Simplify right side
    281,644.50x = 392,200,335,081
  5. Step 5: Solve for x
    x = 392,200,335,081/281,644.50
  6. Step 6: Final answer
    x = 1,392,536.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.